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If two lines are parallel and the measure of one of the interior angles is 50 de

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Question: If two lines are parallel and the measure of one of the interior angles is 50 degrees, what is the measure of the other interior angle on the same side of the transversal?

Options:

  1. 50 degrees
  2. 130 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 130 degrees

Solution: 

Interior angles on the same side of the transversal are supplementary, so 180 - 50 = 130 degrees.

If two lines are parallel and the measure of one of the interior angles is 50 de

Practice Questions

Q1
If two lines are parallel and the measure of one of the interior angles is 50 degrees, what is the measure of the other interior angle on the same side of the transversal?
  1. 50 degrees
  2. 130 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If two lines are parallel and the measure of one of the interior angles is 50 degrees, what is the measure of the other interior angle on the same side of the transversal?
  • Step 1: Understand that parallel lines are lines that never meet and are always the same distance apart.
  • Step 2: Identify that a transversal is a line that crosses two or more lines (in this case, the parallel lines).
  • Step 3: Recognize that when a transversal crosses parallel lines, it creates interior angles on the same side of the transversal.
  • Step 4: Know that interior angles on the same side of the transversal are supplementary, which means they add up to 180 degrees.
  • Step 5: Since one of the interior angles is given as 50 degrees, you can find the other angle by subtracting 50 from 180.
  • Step 6: Calculate the other angle: 180 - 50 = 130 degrees.
  • Parallel Lines and Transversals – Understanding the relationship between angles formed when a transversal intersects parallel lines, specifically the concept of supplementary angles.
  • Interior Angles – Recognizing that interior angles on the same side of the transversal are supplementary, meaning they add up to 180 degrees.
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